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problem4-11 - PROBLEM 4.11 KNOWN Operating conditions of a...

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PROBLEM 4.11 K NOWN: Operating conditions of a buried superconducting cable. F IND: Required cooling load. S CHEMATIC: ASSUMPTIONS: (1) Steady-state conditions, (2) Constant properties, (3) Two-dimensional conduction in soil, (4) One-dimensional conduction in insulation, (5) Pipe inner surface is at iquid nitrogen temperature. l A NALYSIS: The heat rate per unit length is ( ) ( ) ( ) g n g I g n 1 g o o i T T q R R T T q k 2 /ln 4z/D ln D / D / 2 k ′ = + ′ = + π π i where Tables 3.3 and 4.1 have been used to evaluate the insulation and ground resistances,
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